4z+2=8-(3z-2)

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Solution for 4z+2=8-(3z-2) equation:


Simplifying
4z + 2 = 8 + -1(3z + -2)

Reorder the terms:
2 + 4z = 8 + -1(3z + -2)

Reorder the terms:
2 + 4z = 8 + -1(-2 + 3z)
2 + 4z = 8 + (-2 * -1 + 3z * -1)
2 + 4z = 8 + (2 + -3z)

Combine like terms: 8 + 2 = 10
2 + 4z = 10 + -3z

Solving
2 + 4z = 10 + -3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '3z' to each side of the equation.
2 + 4z + 3z = 10 + -3z + 3z

Combine like terms: 4z + 3z = 7z
2 + 7z = 10 + -3z + 3z

Combine like terms: -3z + 3z = 0
2 + 7z = 10 + 0
2 + 7z = 10

Add '-2' to each side of the equation.
2 + -2 + 7z = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 7z = 10 + -2
7z = 10 + -2

Combine like terms: 10 + -2 = 8
7z = 8

Divide each side by '7'.
z = 1.142857143

Simplifying
z = 1.142857143

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